By Hanif D. Sherali,W. P. Adams

ISBN-10: 1441948082

ISBN-13: 9781441948083

This booklet offers with the speculation and functions of the Reformulation- Linearization/Convexification strategy (RL T) for fixing nonconvex optimization difficulties. A unified remedy of discrete and non-stop nonconvex programming difficulties is gifted utilizing this process. In essence, the bridge among those different types of nonconvexities is made through a polynomial illustration of discrete constraints. for instance, the binariness on a 0-1 variable x . may be equivalently J expressed because the polynomial constraint x . (1-x . ) = zero. the inducement for this e-book is J J the position of tight linear/convex programming representations or relaxations in fixing such discrete and non-stop nonconvex programming difficulties. The valuable thrust is to begin with a version that gives an invaluable illustration and constitution, after which to additional boost this illustration via computerized reformulation and constraint iteration recommendations. As pointed out above, the point of interest of this publication is the improvement and alertness of RL T to be used as an automated reformulation method, and likewise, to generate robust legitimate inequalities. The RLT operates in levels. within the Reformulation part, particular types of extra implied polynomial constraints, that come with the aforementioned constraints on the subject of binary variables, are appended to the matter. The ensuing challenge is as a consequence linearized, other than that sure convex constraints are often retained in XV specific exact situations, within the Linearization/Convexijication part. this can be performed through the definition of compatible new variables to switch every one unique variable-product time period. the better dimensional illustration yields a linear (or convex) programming relaxation.

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A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems (Nonconvex Optimization and Its Applications) by Hanif D. Sherali,W. P. Adams

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